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16743323340 = 22325234198641
BaseRepresentation
bin11111001011111101…
…01101011011001100
31121012212111221201200
433211332231123030
5233242242321330
611405231305500
71131625620522
oct174576553314
947185457650
1016743323340
117112195707
1232b337b290
13176aa83a23
14b4b986312
1567edc4a60
hex3e5fad6cc

16743323340 has 144 divisors (see below), whose sum is σ = 54289400256. Its totient is φ = 4166553600.

The previous prime is 16743323329. The next prime is 16743323347. The reversal of 16743323340 is 4332334761.

16743323340 is a `hidden beast` number, since 167 + 433 + 23 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16743323295 and 16743323304.

It is not an unprimeable number, because it can be changed into a prime (16743323347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120420 + ... + 219060.

It is an arithmetic number, because the mean of its divisors is an integer number (377009724).

Almost surely, 216743323340 is an apocalyptic number.

16743323340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16743323340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27144700128).

16743323340 is an abundant number, since it is smaller than the sum of its proper divisors (37546076916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16743323340 is a wasteful number, since it uses less digits than its factorization.

16743323340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98720 (or 98715 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 16743323340 in words is "sixteen billion, seven hundred forty-three million, three hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 41 45 46 60 69 82 90 92 115 123 138 164 180 205 207 230 246 276 345 369 410 414 460 492 615 690 738 820 828 943 1035 1230 1380 1476 1845 1886 2070 2460 2829 3690 3772 4140 4715 5658 7380 8487 9430 11316 14145 16974 18860 28290 33948 42435 56580 84870 98641 169740 197282 295923 394564 493205 591846 887769 986410 1183692 1479615 1775538 1972820 2268743 2959230 3551076 4044281 4438845 4537486 5918460 6806229 8088562 8877690 9074972 11343715 12132843 13612458 16177124 17755380 20221405 20418687 22687430 24265686 27224916 34031145 36398529 40442810 40837374 45374860 48531372 60664215 68062290 72797058 80885620 81674748 93018463 102093435 121328430 136124580 145594116 181992645 186036926 204186870 242656860 279055389 363985290 372073852 408373740 465092315 558110778 727970580 837166167 930184630 1116221556 1395276945 1674332334 1860369260 2790553890 3348664668 4185830835 5581107780 8371661670 16743323340